Symbolic fractional dynamics

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2013
Outros Autores: Galhano, Alexandra
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/3759
Resumo: Fractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems and signals can adopt a representation where states are quantified using a set of symbols. Such signals occur both in nature and in man made processes and have the potential of a aftermath as relevant as the classical counterpart. This paper explores the association of Fractional calculus and symbolic dynamics. The results are visualized by means of the multidimensional technique and reveal the association between the fractal dimension and one definition of fractional derivative.
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spelling Symbolic fractional dynamicsFractalsFractional calculusMultidimensional scalingScientific visualizationSymbolic dynamicsFractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems and signals can adopt a representation where states are quantified using a set of symbols. Such signals occur both in nature and in man made processes and have the potential of a aftermath as relevant as the classical counterpart. This paper explores the association of Fractional calculus and symbolic dynamics. The results are visualized by means of the multidimensional technique and reveal the association between the fractal dimension and one definition of fractional derivative.IEEERepositório Científico do Instituto Politécnico do PortoMachado, J. A. TenreiroGalhano, Alexandra2014-02-06T15:51:20Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/3759eng2156-335710.1109/JETCAS.2013.2273826metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:43:36Zoai:recipp.ipp.pt:10400.22/3759Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:24:45.364064Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Symbolic fractional dynamics
title Symbolic fractional dynamics
spellingShingle Symbolic fractional dynamics
Machado, J. A. Tenreiro
Fractals
Fractional calculus
Multidimensional scaling
Scientific visualization
Symbolic dynamics
title_short Symbolic fractional dynamics
title_full Symbolic fractional dynamics
title_fullStr Symbolic fractional dynamics
title_full_unstemmed Symbolic fractional dynamics
title_sort Symbolic fractional dynamics
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
Galhano, Alexandra
author_role author
author2 Galhano, Alexandra
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
Galhano, Alexandra
dc.subject.por.fl_str_mv Fractals
Fractional calculus
Multidimensional scaling
Scientific visualization
Symbolic dynamics
topic Fractals
Fractional calculus
Multidimensional scaling
Scientific visualization
Symbolic dynamics
description Fractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems and signals can adopt a representation where states are quantified using a set of symbols. Such signals occur both in nature and in man made processes and have the potential of a aftermath as relevant as the classical counterpart. This paper explores the association of Fractional calculus and symbolic dynamics. The results are visualized by means of the multidimensional technique and reveal the association between the fractal dimension and one definition of fractional derivative.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2014-02-06T15:51:20Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/3759
url http://hdl.handle.net/10400.22/3759
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2156-3357
10.1109/JETCAS.2013.2273826
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